Cold atoms in rotating optical lattice with nearest neighbour interaction

TL;DR

This paper investigates how rotation affects phase boundaries and vortex states in cold atoms within optical lattices modeled by extended Bose Hubbard models with nearest neighbor interactions, revealing connections to Harper equations.

Contribution

It introduces the analysis of rotation effects on phase boundaries and vortex profiles in extended Bose Hubbard models, linking them to Harper equation edge spectra.

Findings

Rotation modifies phase boundaries of density wave and Mott insulator phases.

Checkerboard vortex states with sublattice modulated superfluid order are characterized.

Edge spectrum of Harper equation relates to phase boundary shifts.

Abstract

Extended Bose Hubbard models with nearest neighbour interaction describe minimally the effect of long range interaction on ultra cold atoms in deep optical lattices. Rotation of such optical lattices subject such neutral cold atoms to the effect of an artificial magnetic field. The modification of the phase boundaries of the density wave and Mott Insulator phases due to this rotation are shown to be related to the edge spectrum of spinorial and scalar Harper equation. Corresponding profiles of the checkerboard vortex states with sublattice modulated superfluid order parameter near density wave phase boundary are calculated.